11 Chapter Map - DFT, FFT, and Frequency-Domain Discrete Analysis

Chapter 11 Overview & Map of Content (MOC)

Direct DFT matrix mathematics, complex twiddle phase periodicities, and Radix-2 DIT/DIF butterfly signal-flow graphs.

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📚 Study Notes Index

Read in order — each note assumes the previous one.

#	Note	What it covers
11.00	11.00 Discrete Fourier Transforms Compact Review	DFT Compact Review, FFT Compact Review, Fourier Transform Discrete Compact
11.01	11.01 The Discrete Fourier Transform DFT	Discrete Fourier Transform, DFT Definition, DFT Complexity, DFT Matrix
11.02	11.02 Properties of the DFT and Twiddle Factors	DFT Properties, Twiddle Factor Symmetries, Circular Convolution, Circular Shifting
11.03	11.03 Radix-2 Decimation-In-Time FFT Algorithm DIT-FFT	DIT-FFT Algorithm, Decimation-In-Time FFT, Radix-2 DIT Butterfly
11.04	11.04 Radix-2 Decimation-In-Frequency FFT Algorithm DIF-FFT	DIF-FFT, Decimation-in-Frequency, DIF Butterfly Diagram, Radix-2 DIF

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🎯 Exam Weight

ECE 2107 Exam Relevance

Master the core derivations, mathematical definitions, and problem-solving techniques. Refer to ECE 2107 - Signals and Systems for syllabus boundaries and past year questions.

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🔗 Related Resources

• Course Teaching Plan: ECE 2107 - Signals and Systems
• Previous chapter: 10 Chapter Map - Z-Transform & Discrete-Time Analysis
• Next chapter: None